10 - What are Composite Functions? (Part 1) - Evaluating Composition of Functions & Examples
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- Опубликовано: 22 авг 2024
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Twitter: / jasongibsonmath
In this lesson, you will learn what a composite function is in math. We will discuss the definition of a composite function being two functions chained or nested inside of one another. We must then evaluate the composite function by evaluating each individual function in sequence, one after the other. In general, the order of evaluating the functions affects the answer so that gof g(f(x)) and fog (f(g(x)) yield different answers. The major exception to this is in the case that f(x) and g(x) are inverse functions of one another. In that case the composite functions give the same answer no matter the order that f(x) and g(x) are evaluated.
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Thank you sir...for explaining the concept of composite functions...very clear explanation and you made it easy.
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I struggled with this function for so long, could not figure it out. 🥸After this lesson I finally get the concept. Still a bit fuzzy, but there is hope now. I need to go over a couple more times to digest it. Thank you Jason🙏
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Studying Engineering Maths 1 and this video made me understand composition
Refreshed and recalled my understanding of this function, thank you.
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I can only recall the chain rule similar to composite function.
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I'm already introduced to computer programming and also work with functions passing an argument to functions parameters, but still I'm confused in this composite functions things until today, this was really helpful thank you very much ♥️
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Man, math has terrified me my entire life. I happen to have, though, 2 Associates degrees in programming and somehow with no advanced math. I shouldn't be, but am continually surprised how much programming takes from math. I've been nesting functions (methods) for years.
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Unable to find compososite functions part 2 😪
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Jason, MathAndScience.com
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Where is part 2 in the Playlist?
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Jason, MathAndScience.com
But g(x) = sq root x is not a function because it fails the vertical line test. Is one allowed to have a composite function if one of them fails the vertical line test?
Am still laughing when I remember my teacher put f and u variables at our quiz yesterday
Thank goodness I stumbled upon this vid. I might've gotten a zero in our exercise if I didn't 😭😭😭
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So, it doesn't have any fixed arrangement/order of writing the function?
What should matter is the order of solving it?
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To this day he is still evaluating composition of functions & examples part 2. :( I need more help with these.
Where is the second part??
Hi. Can a composite function be equal?
no ..he already told in the video that these funtions can not be equal ...
Can you plz discuss the composition of two functions when one of them is piece-wise-define ftn.?
Where is 4 came from?
12:36
In general composite functions are not commutative...
what happen to the sound?